84.88 is what percent of 1118.48 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 1118.48 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 1118.48, so we can write it down as 100%=1118.48.
4. We know, that x% equals 84.88 of the output value, so we can write it down as x%=84.88.
5. Now we have two simple equations:
1) 100%=1118.48
2) x%=84.88
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=1118.48/84.88
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 84.88 is what percent of 1118.48

100%/x%=1118.48/84.88
(100/x)*x=(1118.48/84.88)*x       - we multiply both sides of the equation by x
100=13.177191328935*x       - we divide both sides of the equation by (13.177191328935) to get x
100/13.177191328935=x
7.5888706101137=x
x=7.5888706101137

now we have:
84.88 is 7.5888706101137% of 1118.48